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A driver who lives in Florida must drive to Chicago. The pressure in the car tires...

A driver who lives in Florida must drive to Chicago. The pressure in the car tires is 32 psig at 80 F in Florida. Assume each tire has a volume of .5 ft^2.

A) If the Temperature in Chicago is going to be –10 F, what will be the pressure in the tires in Chicago?
B) What pressure in psig should he have in the tires in Florida (80 F) to have 30 psig in the tires when he arrived in Chicago (-10 F)

Engineering   Mechanical-Engineering   
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Answer #1

Given: pressure in car tires= 32psig @ 80F; assuming condition 1 for florida and condition 2 for chicago.

volume of total 4 tire:

Governing equation:

A) p1= 32 psig; v1=v2= 2.0 ft3; T1= 80F= 299.817 K; T2= -10F= 249.817 K.

hence from above equation:

p2= 26.66 psig (Ans.)

hence tire pressure in chicago will be 26.66 psig.

B) T1= 80F= 299.817K; v1=v2= 2.0 ft3; p2= 30 psig; T2= -10F= 249.817K.

hence from above equation:

p1= 36.00 psig (Ans.)

hence, tire pressure in florida should be 36.00 psig.

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